log(x+4)-logx=log(x+2)

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Solution for log(x+4)-logx=log(x+2) equation: 


Simplifying
log(x + 4) + -1logx = log(x + 2)

Reorder the terms:
glo(4 + x) + -1logx = log(x + 2)
(4 * glo + x * glo) + -1logx = log(x + 2)
(4glo + glox) + -1logx = log(x + 2)

Combine like terms: glox + -1glox = 0
4glo + 0 = log(x + 2)
4glo = log(x + 2)

Reorder the terms:
4glo = glo(2 + x)
4glo = (2 * glo + x * glo)
4glo = (2glo + glox)

Solving
4glo = 2glo + glox

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-2glo' to each side of the equation.
4glo + -2glo = 2glo + -2glo + glox

Combine like terms: 4glo + -2glo = 2glo
2glo = 2glo + -2glo + glox

Combine like terms: 2glo + -2glo = 0
2glo = 0 + glox
2glo = glox

Add '-1glox' to each side of the equation.
2glo + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
2glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(2 + -1x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

Move all terms containing g to the left, all other terms to the right.

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing g to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Add 'x' to each side of the equation.
-1x + x = -2 + x

Combine like terms: -1x + x = 0
0 = -2 + x

Simplifying
0 = -2 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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